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On Non-binary Quantum BCH Codes

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Book cover Theory and Applications of Models of Computation (TAMC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3959))

Abstract

Two sufficient and necessary conditions for the self orthogonality of classical non-primitive BCH codes over \(\mathbb{F}_q\) and \(\mathbb{F}_{q^2}\) are given, respectively. And series of non-binary quantum BCH codes are obtained by using these two conditions and some construction methods.

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Author information

Authors and Affiliations

  1. Department of Information Research, Information Engineering University, Zhengzhou, 450002, China

    Zhi Ma

  2. State Key Laboratory of Information Security, (Graduate School of Chinese Academy of Sciences), 100039, Beijing, China

    Zhi Ma, Xin Lu & Dengguo Feng

  3. Department of Mathematical Science, Tsinghua University, Beijing, 100084, China

    Keqin Feng

Authors
  1. Zhi Ma
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  2. Xin Lu
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  3. Keqin Feng
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  4. Dengguo Feng
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Editor information

Editors and Affiliations

  1. Computer Sciences Department, University of Wisconsin, 53706, Madison, WI, USA

    Jin-Yi Cai

  2. School of Mathematics, University of Leeds, LS2 9JT, Leeds, U.K.

    S. Barry Cooper

  3. State Key Lab. of Computer Science, Institute of Software, Chinese Academy of Sciences,  

    Angsheng Li

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© 2006 Springer-Verlag Berlin Heidelberg

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Ma, Z., Lu, X., Feng, K., Feng, D. (2006). On Non-binary Quantum BCH Codes. In: Cai, JY., Cooper, S.B., Li, A. (eds) Theory and Applications of Models of Computation. TAMC 2006. Lecture Notes in Computer Science, vol 3959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11750321_63

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  • DOI: https://doi.org/10.1007/11750321_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34021-8

  • Online ISBN: 978-3-540-34022-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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